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3 years ago

If 5a=-4b+5 and 3a=-2b+3, what is 6b?

1 answer:

8 0

<span>Simplifying 3a + -2b = 5a + 6b Solving 3a + -2b = 5a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3a + -5a + -2b = 5a + -5a + 6b Combine like terms: 3a + -5a = -2a -2a + -2b = 5a + -5a + 6b Combine like terms: 5a + -5a = 0 -2a + -2b = 0 + 6b -2a + -2b = 6b Add '2b' to each side of the equation. -2a + -2b + 2b = 6b + 2b Combine like terms: -2b + 2b = 0 -2a + 0 = 6b + 2b -2a = 6b + 2b Combine like terms: 6b + 2b = 8b -2a = 8b Divide each side by '-2'. a = -4b Simplifying a = -4b</span>

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Evaluate j+j -h; use h=3, and j =3

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Answer:

Step-by-step explanation:

First you would substitute 3 for j and 3 for h

3+3-3

then you would simplify that to get

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3 years ago

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The volume of a cylinder is 384pi cm cubed. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder?

marissa [1.9K]

Answer:

24cm

Step-by-step explanation:

pi(4^2) = 50.26548246

This is the area of the circle

384pi / area of circle = 24cm

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4 years ago

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sleet_krkn [62]

Answer:

Step-by-step explanation:

x= 144-180

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3 years ago

To rent a certain meeting room a college charges a reservation fee of $43 an additional fee of $8.70 per hour. The history club

Gekata [30.6K]

We have an initial value of $43 and every hour the price of the reservation increases $8.70, then, the function that determinates the price for the meeting room is

$P(t)=43+8.7t$

The history club have a limit value that is $77.80, then, to find the amount of hours they can spend at the meeting room we just need to solve the following inequality:

$77.8\ge43+8.7t$

Solving for t:

$\begin{gathered} 77.8\ge43+8.7t \\ 34.8\ge8.7t \\ 4\ge t \end{gathered}$

The maximum amount of hours they can spend in the meeting room is 4 hours.

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1 year ago

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1425 referee calls with the resul

Talja [164]

Answer:

CI = (-0.0445, 0.0225)

there is no sufficient evidence to men and women have equal success in challenging calls

Step-by-step explanation:

Sample size for men; n1 = 1425

Number of success for men; x1 = 412

Sample size for women; n2 = 739

Number of success for women; x2 = 221

Significance level; α = 0.05

Sample proportion for men;

p1 = x1/n1 = 412/1425

p1 = 0.2891

Sample proportion for women;

p2 = x2/n2 = 221/739

p2 = 0.2991

From tables, z-score at significance level of 0.05 is 1.96.

Formula for margin of error is;

E = z√[(p1(1 - p1)/n1) + (p2(1 - p2)/n2)]

Plugging in the relevant values;

E = 1.96√[(0.2891(1 - 0.2891)/1425) + (0.2991(1 - 0.2991)/1425)]

E = 1.96 × 0.0170687

E = 0.0335

Coordinates of the confidence interval will be;

[(p1 - p2) - E], [(p1 - p2) + E]

[(0.2881 - 0.2991) - 0.0335], [(0.2881 - 0.2991) + 0.0335]

CI = (-0.0445, 0.0225)

This means that the confidence interval contains 0 since it's between (-0.0445 and 0.0225). Thus we can conclude that there is no sufficient evidence to men and women have equal success in challenging calls

6 0

3 years ago